Answer
$(f-g)(3)=0$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To find the value of the given expression, $
(f-g)(3)
,$ use the definition of the appropriate function operation. Then substitute the values in the given table.
$\bf{\text{Solution Details:}}$
Using $(f-g)(x)=f(x)-g(x),$ then
\begin{array}{l}\require{cancel}
(f-g)(3)=f(3)-g(3)
\text{ (Equation *)}
.\end{array}
Based on the given table, when $x=
3
,$ the value of $f(x)$ is $
9
.$ Hence, $
f(3)=9
.$
Based on the given table, when $x=
3
,$ the value of $g(x)$ is $
9
.$ Hence, $
g(3)=9
.$
By substitution, Equation * becomes
\begin{array}{l}\require{cancel}
(f-g)(3)=f(3)-g(3)
\\\\
(f-g)(3)=9-9
\\\\
(f-g)(3)=0
.\end{array}
